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Art [367]
3 years ago
14

Steve subscribed to 10 podcasts for a total of 340 minutes. He used his two favorite tags, Hobbies & Recreation and Soliloqu

ies. Each of the Hobbies and Recreation episodes lasted about 32 minutes. Each Soliloquies episode lasted 42 minutes. To how many of each tag did Steve subscribe?
Mathematics
1 answer:
Gwar [14]3 years ago
7 0
We let x and y be the number of Hobbies & Recreation and Soliloquies episodes that Steve subscribe. The system of linear equation that best represent the given above is,
                                          x + y = 10
                                         32x + 42y = 340
The values of x and y from the system are 8 and 2, respectively. Thus Steve subscribed to 8 Hobbies & Recreation and to 2 Soliloquies episodes. 
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Michael is going to invest $15,000 into two savings accounts to save money to buy a house.
levacccp [35]

Answer:

Bank of Texas = $10,031.35

United Texas Bank = $10,500.00

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A=P(1+rt)

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t=5 years

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refer the pic

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r=8%

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refer the sec pic

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3 years ago
Subject: Mathematics
lina2011 [118]

\\ \sf\longmapsto \dfrac{1}{x-1}>4

  • Multiply x-1 on both sides

\\ \sf\longmapsto \dfrac{1}{x-1}\times (x-1)> 4(x-1)

\\ \sf\longmapsto 1>4(x-1)

\\ \sf\longmapsto 1> 4x-4

  • Add 4 on both sides

\\ \sf\longmapsto 1+4> 4x

\\ \sf\longmapsto 5> 4x

  • Divide both sides by 4

\\ \sf\longmapsto \dfrac{5}{4}>x

\\ \sf\longmapsto x< \dfrac{5}{4}

Now

ATQ to the equation \bf \dfrac{1}{x-1} x should be greater than 1 .Because if it becomes 1 then the denominator will be 0 which is impossible.

Hence x>1

Thus

\\ \sf{:}\!\implies 1

Now

\\ \therefore\boxed{\bf x\epsilon \left(1,\dfrac{5}{4}\right)}

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3 years ago
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